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Liu JB, Xavier DA, Varghese ES, Baby A, Mathew D. Molecular Descriptors of Porphyrin-based Dendrimer. Polycycl Aromat Compd 2022. [DOI: 10.1080/10406638.2022.2112714] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/15/2022]
Affiliation(s)
- Jia-Bao Liu
- School of Mathematics and Physics, Anhui Jianzhu University, Hefei, China
| | - D. Antony Xavier
- Department of Mathematics, Loyola College (Affiliated to the University of Madras), Chennai, India
| | - Eddith Sarah Varghese
- Department of Mathematics, Loyola College (Affiliated to the University of Madras), Chennai, India
| | - Annmaria Baby
- Department of Mathematics, Loyola College (Affiliated to the University of Madras), Chennai, India
| | - Deepa Mathew
- Department of Mathematics, St. Joseph’s College, Bangalore, India
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Xavier DA, Varghese ES, Baby A, Mathew D, K. A. Kaabar M. Distance based topological descriptors of Zinc Porphyrin Dendrimer. J Mol Struct 2022. [DOI: 10.1016/j.molstruc.2022.133614] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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Iqbal Z, Aslam A, Ishaq M, Gao W. On Computations of Topological Descriptors of Kagome Lattice. Polycycl Aromat Compd 2021. [DOI: 10.1080/10406638.2021.1923537] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
Affiliation(s)
- Zahid Iqbal
- School of Natural Sciences, National University of Sciences and Technology, Islamabad, Pakistan
| | - Adnan Aslam
- Department of Natural Sciences and Humanities, University of Engineering and Technology, Lahore, Pakistan
| | - Muhammad Ishaq
- School of Natural Sciences, National University of Sciences and Technology, Islamabad, Pakistan
| | - Wei Gao
- School of Information Science and Technology, Yunnan Normal University, Kunming, China
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Topological aspects of 2D structures of trans- Pd(NH2)S lattice and a metal-organic superlattice. ARAB J CHEM 2021. [DOI: 10.1016/j.arabjc.2020.102963] [Citation(s) in RCA: 11] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022] Open
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Abstract
Irregularity indices are usually used for quantitative characterization of the topological structures of non-regular graphs. In numerous problems and applications, especially in the fields of chemistry and material engineering, it is useful to be aware of the irregularity of a molecular structure. Furthermore, the evaluation of the irregularity of graphs is valuable not only for quantitative structure-property relationship (QSPR) and quantitative structure-activity relationship (QSAR) studies but also for various physical and chemical properties, including entropy, enthalpy of vaporization, melting and boiling points, resistance, and toxicity. In this paper, we will restrict our attention to the computation and comparison of the irregularity measures of different classes of dendrimers. The four irregularity indices which we are going to investigate are σ irregularity index, the irregularity index by Albertson, the variance of vertex degrees, and the total irregularity index.
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Iqbal Z, Aslam A, Ishaq M, Gao W. The Edge Versions of Degree-Based Topological Descriptors of Dendrimers. J CLUST SCI 2019. [DOI: 10.1007/s10876-019-01658-w] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/27/2022]
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Some Eccentricity-Based Topological Indices and Polynomials of Poly(EThyleneAmidoAmine) (PETAA) Dendrimers. Processes (Basel) 2019. [DOI: 10.3390/pr7070433] [Citation(s) in RCA: 17] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022] Open
Abstract
Topological indices have been computed for various molecular structures over many years. These are numerical invariants associated with molecular structures and are helpful in featuring many properties. Among these molecular descriptors, the eccentricity connectivity index has a dynamic role due to its ability of estimating pharmaceutical properties. In this article, eccentric connectivity, total eccentricity connectivity, augmented eccentric connectivity, first Zagreb eccentricity, modified eccentric connectivity, second Zagreb eccentricity, and the edge version of eccentric connectivity indices, are computed for the molecular graph of a PolyEThyleneAmidoAmine (PETAA) dendrimer. Moreover, the explicit representations of the polynomials associated with some of these indices are also computed.
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Abstract
A graph is said to be a regular graph if all its vertices have the same degree, otherwise, it is irregular. Irregularity indices are usually used for quantitative characterization of the topological structure of non-regular graphs. In numerous applications and problems in material engineering and chemistry, it is useful to be aware that how irregular a molecular structure is? Furthermore, evaluations of the irregularity of underline molecular graphs could be valuable for QSAR/QSPR studies, and for the expressive determines of chemical and physical properties, such as enthalpy of vaporization, toxicity, resistance, Entropy, melting and boiling points. In this paper, we think over the following four irregularity measures: the irregularity index by Albertson, σ irregularity index, the total irregularity index and the variance of vertex degrees. By way of graph structural estimation and derivations, we determine these irregularity measures of the molecular graphs of different classes of dendrimers.
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